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Least Common Multiple (LCM) of 179 and 133

The least common multiple (LCM) of 179 and 133 is 23807.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 179 and 133?

First, calculate the GCD of 179 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 179 ÷ 133 = 1 remainder 46
2 133 ÷ 46 = 2 remainder 41
3 46 ÷ 41 = 1 remainder 5
4 41 ÷ 5 = 8 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 126630
191 and 11922729
16 and 14112
158 and 544266
84 and 12510500

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